Symplectic embedding and Hamilton-Jacobi analysis of Proca model

Details Symplectic embedding and Hamilton-Jacobi analysis of Proca model Symplectic embedding and Hamilton-Jacobi analysis of Proca model

2001-12-19

arxiv.org/abs/hep-th/0112170v1

Mod.Phys.Lett. A17 (2002) 435-452

Physics

High Energy Physics

High Energy Physics - Theory

24 pages

Scientific paper

10.1142/S0217732302006746

Following the symplectic approach we show how to embed the Abelian Proca model into a first-class system by extending the configuration space to include an additional pair of scalar fields, and compare it with the improved Dirac scheme. We obtain in this way the desired Wess-Zumino and gauge fixing terms of BRST invariant Lagrangian. Furthermore, the integrability properties of the second-class system described by the Abelian Proca model are investigated using the Hamilton-Jacobi formalism, where we construct the closed Lie algebra by introducing operators associated with the generalized Poisson brackets.

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